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Chapter 4: Problem 38
Evaluate each expression without using a calculator. $$\log _{6} 1$$
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The figure shows the graph of \(f(x)=\ln x\). Use transformations of this graph to graph each function. Graph and give equations of the asymptotes. Use the graphs to determine each function's domain and range. (GRAPH CANNOT COPY). $$ h(x)=\ln \left(\frac{1}{2} x\right) $$
Determine whether each statement makes sense or does not make sense, and explain your reasoning. Because the equations $$ \log (3 x+1)=5 \text { and } \log (3 x+1)=\log 5 $$ are similar, I solved them using the same method.
Describe the following property using words: \(\log _{b} b^{x}=x\).
Evaluate or simplify each expression without using a calculator. $$ \ln 1 $$
Use your graphing utility to graph each side of the equation in the same viewing rectangle. Then use the \(x\) -coordinate of the intersection point to find the equation's solution set Verify this value by direct substitution into the equation. $$ 5^{x}=3 x+4 $$
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